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Finding the Fourth Proportional to 518.06, 714.87 and 297.02

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Solution

The fourth proportional to 518.06, 714.87 and 297.02 is: 409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 714.87 = 297.02 : x
  2. Step 2: Convert to fraction form
    518.06/714.87 = 297.02/x
  3. Step 3: Cross multiply
    518.06x = 714.87 × 297.02
  4. Step 4: Simplify right side
    518.06x = 212,327.11
  5. Step 5: Solve for x
    x = 212,327.11/518.06
  6. Step 6: Final answer
    x = 409.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.